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This problem trains for: SAT-I, AMC-8, GMAT, AMC-10.
What is the smallest integer x for:
to be a perfect square?
Factor the number into primes:
For a number to be a perfect square, all its prime factors have to have an even exponent.
The number we have already has an even number of factors of 2.
We need an extra number of factors to bring the other prime factors to the smallest even power. N has to look like this:
Therefore, the smallest x has to be: